%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:12:48 PM UTC 2026
% Result : Theorem 0.07s 0.40s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 3 def)
% Number of atoms : 67 ( 11 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 65 ( 23 ~; 23 |; 14 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| ( Time = n0
& Event = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,lemma,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,lemma,
holdsAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
happens(overflow,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ happens(overflow,n3),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f134,definition,
! [Event,Time] :
( sP1_prd(Time,Event)
<=> ( Time = n0
& Event = tapOn ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f135,plain,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| sP1_prd(Time,Event) ) ),
inference(formula_renaming,[status(thm)],[f16,f134]) ).
fof(f136,plain,
! [Event,Time] :
( ( ( ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) )
& ~ sP1_prd(Time,Event) )
| happens(Event,Time) )
& ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| sP1_prd(Time,Event)
| ~ happens(Event,Time) ) ),
inference(NNF_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
( ! [Event,Time] :
( ( ( Event != overflow
| ~ holdsAt(filling,Time)
| ~ holdsAt(waterLevel(n3),Time) )
& ~ sP1_prd(Time,Event) )
| happens(Event,Time) )
& ! [Event,Time] :
( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| sP1_prd(Time,Event)
| ~ happens(Event,Time) ) ),
inference(miniscoping,[status(thm)],[f136]) ).
fof(f142,plain,
! [X0,X1] :
( X0 != overflow
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f224,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f225,plain,
holdsAt(filling,n3),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f226,plain,
~ happens(overflow,n3),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f255,plain,
! [X0] :
( ~ holdsAt(filling,X0)
| ~ holdsAt(waterLevel(n3),X0)
| happens(overflow,X0) ),
inference(destructive_equality_resolution,[status(thm)],[f142]) ).
fof(f271,plain,
( ~ holdsAt(filling,n3)
| happens(overflow,n3) ),
inference(resolution,[status(thm)],[f255,f224]) ).
fof(f272,definition,
( sQ2_spl
<=> happens(overflow,n3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ2_spl
| happens(overflow,n3) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ3_spl
<=> holdsAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ3_spl
| ~ holdsAt(filling,n3) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f271,f272,f275]) ).
fof(f279,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f226]) ).
fof(f280,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f225]) ).
fof(f282,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f283,plain,
$false,
inference(sat_refutation,[status(thm)],[f278,f280,f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR004+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 14:24:24 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.38 % Drodi V4.1.1
% 0.07/0.40 % Refutation found
% 0.07/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.49 % Elapsed time: 0.125790 seconds
% 0.15/0.49 % CPU time: 0.104351 seconds
% 0.15/0.49 % Total memory used: 3.313 MB
% 0.15/0.49 % Net memory used: 3.311 MB
%------------------------------------------------------------------------------